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Article Dans Une Revue Journal of Differential Equations Année : 1986

Keeping track of limit cycles

C.C Pugh
  • Fonction : Auteur

Résumé

This article uses analytic geometry methods to bound the number of limit cycles of bounded period for a planar polynomial vector fields. It introduces the notion of limit periodic sets and shows that the Hilbert's 16th problem can be reduced to the existence of a uniform bound on its cyclicity. It also shows the existence of a universal bound on the number of limit cycles in the perturbation of a linear focus as a consequence of the Noetherian property of the Bautin ideal.

Dates et versions

hal-01403500 , version 1 (26-11-2016)

Identifiants

Citer

Jean-Pierre Françoise, C.C Pugh. Keeping track of limit cycles. Journal of Differential Equations, 1986, 65 (2), pp.139 - 157. ⟨10.1016/0022-0396(86)90030-6⟩. ⟨hal-01403500⟩
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